On the duality of massive Kalb-Ramond and Proca fields

Hell, Anamaria

doi:10.1088/1475-7516/2022/01/056

Cited by 10 publications

(2 citation statements)

References 58 publications

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“…Additionally, this field could be the source of spontaneous Lorentz Symmetry Breaking (LSB), if self-interaction potential and non-vanishing vacuum expectation value (VEV) are assumed [22]. In the pioneering work [23] it was shown that KR field could be dual to the massive spin-1 field, namely Proca field. This property could be used in the study of exotic Proca, Boson-Proca stars.…”

Section: B Kalb-ramond Field and The Rise Of Bouncing Cosmologymentioning

confidence: 99%

“…Moreover, massless KR field could occur in the critical and massless string spectrum due to the compactification to four dimensions [21]. Additionally, this field could be the source of spontaneous Lorentz Symmetry Breaking (LSB) if self-interaction potential and non-vanishing vacuum expectation value (VEV) are assumed [22]. In a pioneering study [23], it was shown that the KR field could be dual to the massive spin-1 field, namely the Proca field.…”

Section: B Kalb-ramond Field and The Rise Of Bouncing Cosmologymentioning

confidence: 99%

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Compact stars admitting Finch-Skea symmetry in the presence of various matter fields*

Sokoliuk¹,

Baransky²,

Sahoo³

2023

Chinese Phys. C

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In the present article authors investigate the anisotropic stellar solutions admitting Finch-Skea symmetry (viable and non-singular metric potentials) in the presence of some exotic matter fields, such as: Bose-Einstein Condensate (BEC) dark matter, Kalb-Ramond fully anisotropic rank-2 tensor field from the low-energy string theory effective action, gauge field imposing $U(1)$ symmetry. Interior spacetime is matched with both Schwarzchild and Reissner-N"ordstrom vacuum spacetimes for BEC, KB and gauge fields respectively. Further, we have studied energy conditions, Equation of State (EoS), radial derivatives of energy density and anisotropic pressures, Tolman-Oppenheimer-Volkoff equilibrium condition, relativistic adiabatic index, sound speed and surface redshift. Most of the aforementioned conditions were satisfied and therefore solutions derived in the current study lie in the physically acceptable regime.

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Section: B Kalb-ramond Field and The Rise Of Bouncing Cosmologymentioning

confidence: 99%

Section: B Kalb-ramond Field and The Rise Of Bouncing Cosmologymentioning

confidence: 99%

Compact stars admitting Finch-Skea symmetry in the presence of various matter fields*

Sokoliuk¹,

Baransky²,

Sahoo³

2023

Chinese Phys. C

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On the degrees of freedom of R2 gravity in flat spacetime

Hell,

Lüst,

Zoupanos

2024

J. High Energ. Phys.

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We study the degrees of freedom of R2 gravity in flat spacetime with two approaches. By rewriting the theory a la Stueckelberg, and implementing Lorentz-like gauges to the metric perturbations, we confirm that the pure theory propagates one scalar degree of freedom, while the full theory contains two tensor modes in addition. We then consider the degrees of freedom by directly examining the metric perturbations. We show that the degrees of freedom of the full theory match with those obtained with the manifestly covariant approach. In contrast, we find that the pure R2 gravity has no degrees of freedom. We show that a similar discrepancy between the two approaches appears also in a theory dual to the three-form, and appears due to the Lorentz-like gauges, which lead to the fictitious modes even after the residual gauge redundancy has been taken into account. At first sight, this implies a discontinuity between the full theory and the pure case. By studying the first-order corrections of the full R2 gravity beyond the linear regime, we show that at high-energies, both scalar and tensor degrees of freedom become strongly coupled. This implies that the apparent discontinuity of pure and full R2 gravity is just an artefact of the perturbation theory, and further supports the absence of degrees of freedom in the pure R2 gravity.

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Dualities among massive, partially massless and shift symmetric fields on (A)dS

Hinterbichler

2024

J. High Energ. Phys.

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We catalog all the electromagnetic-like dualities that exist between free dynamical bosonic fields of arbitrary symmetry type and mass on (anti-) de Sitter space in all dimensions, including dualities among the partially massless and shift symmetric fields. This generalizes to all these field types the well known fact that a massless p-form is dual to a massless (D − p − 2)-form in D spacetime dimensions. In the process, we describe the structure of the Weyl modules (the spaces of local operators linear in the fields and their derivative relations) for all the massive, partially massless and shift symmetric fields.

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On the duality of massive Kalb-Ramond and Proca fields

Cited by 10 publications

References 58 publications

Compact stars admitting Finch-Skea symmetry in the presence of various matter fields*

Compact stars admitting Finch-Skea symmetry in the presence of various matter fields*

On the degrees of freedom of R2 gravity in flat spacetime

Dualities among massive, partially massless and shift symmetric fields on (A)dS

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